%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP089-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:22:17 AM UTC 2026
% Result : Unsatisfiable 33.37s 5.30s
% Output : CNFRefutation 33.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 4
% Syntax : Number of clauses : 54 ( 45 unt; 0 nHn; 11 RR)
% Number of literals : 73 ( 72 equ; 29 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 104 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(X0,divide(divide(X0,X1),divide(X2,X1))) = X2 ).
cnf(multiply,axiom,
multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)) ).
cnf(inverse,axiom,
inverse(X0) = divide(divide(X1,X1),X0) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ) ).
cnf(c0,plain,
divide(X0,divide(divide(X0,X1),divide(X2,X1))) = X2,
inference(clausification,[status(esa)],[single_axiom]) ).
cnf(c1,plain,
multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
inference(clausification,[status(esa)],[multiply]) ).
cnf(c2,plain,
inverse(X0) = divide(divide(X1,X1),X0),
inference(clausification,[status(esa)],[inverse]) ).
cnf(c3,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(clausification,[status(esa)],[prove_these_axioms]) ).
cnf(d0,plain,
multiply(X2,X1) = divide(X2,inverse(X1)),
inference(demodulation,[status(thm)],[c1,c2]) ).
cnf(d1,plain,
divide(X0,inverse(divide(X1,X0))) = X1,
inference(superposition,[status(thm)],[c2,c0]) ).
cnf(d2,plain,
multiply(X0,divide(X1,X0)) = X1,
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
inverse(X1) = divide(inverse(divide(X0,X0)),X1),
inference(superposition,[status(thm)],[c2,c2]) ).
cnf(d4,plain,
divide(inverse(divide(X1,X0)),inverse(X1)) = X0,
inference(superposition,[status(thm)],[d1,d1]) ).
cnf(d5,plain,
inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
multiply(X1,inverse(X0)) = divide(X1,X0),
inference(superposition,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
inverse(inverse(divide(X1,divide(X0,X0)))) = X1,
inference(superposition,[status(thm)],[d1,c2]) ).
cnf(d8,plain,
divide(X0,divide(X1,X1)) = X0,
inference(demodulation,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
divide(X0,divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[d8,c0]) ).
cnf(d10,plain,
multiply(divide(X0,X1),X1) = X0,
inference(superposition,[status(thm)],[d9,d2]) ).
cnf(d11,plain,
multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(superposition,[status(thm)],[d0,d10]) ).
cnf(d12,plain,
divide(multiply(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[d11,d6]) ).
cnf(d13,plain,
multiply(X1,X0) = multiply(X0,X1),
inference(superposition,[status(thm)],[d12,d2]) ).
cnf(d14,plain,
multiply(inverse(X1),multiply(X0,X1)) = X0,
inference(superposition,[status(thm)],[d0,d2]) ).
cnf(d15,plain,
multiply(inverse(X1),X0) = divide(X0,X1),
inference(superposition,[status(thm)],[d10,d14]) ).
cnf(d16,plain,
divide(X0,X1) = divide(divide(X0,divide(X1,X2)),X2),
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d17,plain,
multiply(X2,divide(X0,X1)) = divide(X0,divide(X1,X2)),
inference(superposition,[status(thm)],[d16,d2]) ).
cnf(d18,plain,
divide(divide(divide(X0,X1),divide(X2,X1)),inverse(X2)) = X0,
inference(superposition,[status(thm)],[c0,d1]) ).
cnf(d19,plain,
multiply(divide(divide(X0,X1),divide(X2,X1)),X2) = X0,
inference(demodulation,[status(thm)],[d18,d0]) ).
cnf(d20,plain,
multiply(X2,divide(divide(X0,X1),divide(X2,X1))) = X0,
inference(demodulation,[status(thm)],[d19,d13]) ).
cnf(d21,plain,
multiply(X2,divide(X0,divide(X2,X1))) = multiply(X0,X1),
inference(superposition,[status(thm)],[d12,d20]) ).
cnf(d22,plain,
multiply(X1,multiply(X2,divide(X0,X1))) = multiply(X0,X2),
inference(demodulation,[status(thm)],[d21,d17]) ).
cnf(d23,plain,
divide(X0,X1) = inverse(divide(X1,X0)),
inference(superposition,[status(thm)],[d1,d9]) ).
cnf(d24,plain,
multiply(X2,divide(X0,X1)) = divide(X2,divide(X1,X0)),
inference(superposition,[status(thm)],[d23,d0]) ).
cnf(d25,plain,
multiply(divide(X0,X1),X2) = divide(X0,divide(X1,X2)),
inference(superposition,[status(thm)],[d16,d10]) ).
cnf(d26,plain,
multiply(divide(X0,X1),X2) = multiply(X0,divide(X2,X1)),
inference(demodulation,[status(thm)],[d25,d24]) ).
cnf(d27,plain,
divide(multiply(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[d12,d9]) ).
cnf(d28,plain,
multiply(X1,X2) = multiply(multiply(X0,X1),divide(X2,X0)),
inference(superposition,[status(thm)],[d27,d26]) ).
cnf(d29,plain,
multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,X1)),
inference(superposition,[status(thm)],[d28,d22]) ).
cnf(d30,plain,
multiply(X1,multiply(X2,X0)) = multiply(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[d12,d22]) ).
cnf(d31,plain,
multiply(divide(X1,X1),X0) = X0,
inference(superposition,[status(thm)],[d8,d2]) ).
cnf(d32,plain,
multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[status(thm)],[d0,d31]) ).
cnf(d33,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(resolution,[status(thm)],[d32,c3]) ).
cnf(d34,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(b3,multiply(c3,a3)) != multiply(a3,multiply(b3,c3)) ),
inference(demodulation,[status(thm)],[d33,d30]) ).
cnf(d35,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)) ),
inference(demodulation,[status(thm)],[d34,d29]) ).
cnf(d36,plain,
( multiply(a4,b4) != multiply(b4,a4)
| divide(a1,a1) != multiply(inverse(b1),b1)
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)) ),
inference(demodulation,[status(thm)],[d35,d15]) ).
cnf(d37,plain,
( multiply(a4,b4) != multiply(b4,a4)
| divide(a1,a1) != divide(b1,b1)
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)) ),
inference(demodulation,[status(thm)],[d36,d15]) ).
cnf(d38,plain,
( multiply(a4,b4) != multiply(a4,b4)
| divide(a1,a1) != divide(b1,b1)
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)) ),
inference(demodulation,[status(thm)],[d37,d13]) ).
cnf(d39,plain,
divide(X0,X0) = divide(X1,X1),
inference(superposition,[status(thm)],[d8,d9]) ).
cnf(d40,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)) ),
inference(resolution,[status(thm)],[d39,d38]) ).
cnf(d41,plain,
divide(X0,divide(X2,divide(X3,divide(divide(X0,X1),divide(X2,X1))))) = X3,
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d42,plain,
X1 = divide(X1,divide(divide(X0,X2),divide(X0,X2))),
inference(superposition,[status(thm)],[d41,d9]) ).
cnf(d43,plain,
X0 = X0,
inference(demodulation,[status(thm)],[d42,d8]) ).
cnf(d44,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolution,[status(thm)],[d43,d40]) ).
cnf(d45,plain,
$false,
inference(equality_resolution,[status(thm)],[d44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP089-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.33 % Computer : n018.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Fri Sep 25 14:24:05 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.07/0.33 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.37/5.30 % SZS status Unsatisfiable for theBenchmark.p
% 33.37/5.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------